Optimal control of integrodifference equations in a pest-pathogen system | Zendy

Marco V. Martinez | Zendy; Suzanne Lenhart | Zendy; K. A. Jane White | Zendy

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Optimal control of integrodifference equations in a pest-pathogen system

Author(s) -

Marco V. Martinez,

Suzanne Lenhart,

K. A. Jane White

Publication year - 2015

Publication title -

discrete and continuous dynamical systems - b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.864

H-Index - 53

eISSN - 1553-524X

pISSN - 1531-3492

DOI - 10.3934/dcdsb.2015.20.1759

Subject(s) - uniqueness , optimal control , population , mathematical optimization , pest analysis , control theory (sociology) , mathematics , control (management) , computer science , mathematical analysis , biology , artificial intelligence , medicine , botany , environmental health

We develop the theory of optimal control for a system of integrodifference equations modelling a pest-pathogen system. Integrodifference equations incorporate continuous space into a system of discrete time equations. We design an objective functional to minimize the damaged cost generated by an invasive species and the cost of controlling the population with a pathogen. Existence, characterization, and uniqueness results for the optimal control and corresponding states have been completed. We use a forwardbackward sweep numerical method to implement our optimization which produces spatio-temporal control strategies for the gypsy moth case study

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